[图书][B] Infinite crossed products
DS Passman - 2013 - books.google.com
This groundbreaking monograph in advanced algebra addresses crossed products. Author
Donald S. Passman notes that crossed products have advanced from their first occurrence in …
Donald S. Passman notes that crossed products have advanced from their first occurrence in …
On the monomiality of nice error bases
A Klappenecker, M Rotteler - IEEE transactions on information …, 2005 - ieeexplore.ieee.org
Unitary error bases generalize the Pauli matrices to higher dimensional systems. Two basic
constructions of unitary error bases are known: An algebraic construction by Knill that yields …
constructions of unitary error bases are known: An algebraic construction by Knill that yields …
[HTML][HTML] On blocks of defect two and one simple module, and Lie algebra structure of HH1
Let k be a field of odd prime characteristic p. We calculate the Lie algebra structure of the
first Hochschild cohomology of a class of quantum complete intersections over k. As a …
first Hochschild cohomology of a class of quantum complete intersections over k. As a …
Graded identities of matrix algebras and the universal graded algebra
E Aljadeff, D Haile, M Natapov - Transactions of the American Mathematical …, 2010 - ams.org
We consider fine group gradings on the algebra $ M_n (\mathbb {C}) $ of $ n $ by $ n $
matrices over the complex numbers and the corresponding graded polynomial identities …
matrices over the complex numbers and the corresponding graded polynomial identities …
Groups of central-type, maximal connected gradings and intrinsic fundamental groups of complex semisimple algebras
Y Ginosar, O Schnabel - Transactions of the American Mathematical …, 2019 - ams.org
Maximal connected grading classes of a finite-dimensional algebra $ A $ are in one-to-one
correspondence with Galois covering classes of $ A $ which admit no proper Galois …
correspondence with Galois covering classes of $ A $ which admit no proper Galois …
Blocks inequivalent to their Frobenius twists
Let k be an algebraically closed field of characteristic p. We give a general method for
producing examples of blocks B of finite group algebras that are not Morita equivalent as k …
producing examples of blocks B of finite group algebras that are not Morita equivalent as k …
On the conjugating representation of a finite group
R Roth - Pacific Journal of Mathematics, 1971 - msp.org
A natural permutation representation for any finite group is the conjugating representation T:
for each g∈ G, T (g) is the permutation on the set {x∣ x∈ G} given by T (g)(x)= gxg− 1 …
for each g∈ G, T (g) is the permutation on the set {x∣ x∈ G} given by T (g)(x)= gxg− 1 …
On groups of central type, non-degenerate and bijective cohomology classes
NB David, Y Ginosar - Israel Journal of Mathematics, 2009 - Springer
A finite group G is of central type (in the non-classical sense) if it admits a non-degenerate
cohomology class [c]∈ H 2 (G, ℂ*)(G acts trivially on ℂ*). Groups of central type play a …
cohomology class [c]∈ H 2 (G, ℂ*)(G acts trivially on ℂ*). Groups of central type play a …
[PDF][PDF] Defect groups and character heights in blocks of solvable groups. II
D Gluck, TR Wolf - Journal of Algebra, 1984 - core.ac.uk
All groups considered are finite, y denotes a prime, and Irr (G) is the set of ordinary
irreducible characters of G. For a p-block B of G, there is a conjugacy class of p-subgroups …
irreducible characters of G. For a p-block B of G, there is a conjugacy class of p-subgroups …
On the minimal dimension of a faithful linear representation of a finite group
A Moretó - arXiv preprint arXiv:2102.01463, 2021 - arxiv.org
The representation dimension of a finite group $ G $ is the minimal dimension of a faithful
complex linear representation of $ G $. We prove that the representation dimension of any …
complex linear representation of $ G $. We prove that the representation dimension of any …